Convergence in norm of modified Krasnoselski-Mann iterations for fixed points of demicontractive mappings
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Publication:555396
DOI10.1016/j.amc.2011.04.068zbMath1226.65050OpenAlexW2089690324MaRDI QIDQ555396
Paul-Emile Maingé, Ștefan Mărușter
Publication date: 22 July 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.068
strong convergencefixed pointnumerical examplesHilbert spaceconvex feasibility problemdemicontractive operatorKrasnoselskii-Mann iteration
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)
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Cites Work
- Unnamed Item
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- Iterative construction of fixed points of asymptotically nonexpansive mappings
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- On Mann iteration in Hilbert spaces
- Regularized and inertial algorithms for common fixed points of nonlinear operators
- Convex minimization over the fixed point set of demicontractive mappings
- A new hybrid iterative algorithm for variational inequalities
- Convergence theorems of common fixed points for a family of Lipschitz quasi-pseudocontractions
- On some algorithms in Banach spaces finding fixed points of nonlinear mappings
- Strong convergence of a modified Krasnoselski-Mann iterative algorithm for non-expansive mappings
- An example concerning fixed points
- On the Mann iteration process in a Hilbert space
- Iterative approximation of fixed points of asymptotically demicontractive mappings
- Convergence theorems for asymptotically pseudocontractive mappings
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- On a Mann type implicit iteration process for continuous pseudo-contractive mappings
- Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
- Geometric properties of Banach spaces and nonlinear iterations
- Construction of fixed points of nonlinear mappings in Hilbert space
- Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
- A NECESSARY AND SUFFICIENT CONDITION FOR THE CONVERGENCE OF THE MANN SEQUENCE FOR A CLASS OF NONLINEAR OPERATORS
- A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
- Sur Le Calcul Des Zeros D'un Operateur Discontinu Par Iteration
- The Solution by Iteration of Nonlinear Equations in Hilbert Spaces
- On Projection Algorithms for Solving Convex Feasibility Problems
- Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings
- On the Set of Subsequential Limit Points of Successive Approximations
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
